Comment #6 on issue 2454 by [email protected]: Mul._eval_derivative should use the quotient rule when possible
http://code.google.com/p/sympy/issues/detail?id=2454

Aaron, just using together gives a nicer result without using the quotient rule:


    >>> n,d=x-1,(2*x+2)**2
    >>> (d*diff(n)-n*diff(d))/d**2
    (-(x - 1)*(8*x + 8) + (2*x + 2)**2)/(2*x + 2)**4
    >>> together((d*diff(n)-n*diff(d))/d**2)
    (-x + 3)*(4*x + 4)/(16*(x + 1)**4)

    >>> diff(n/d)
    -4*(x - 1)/(2*x + 2)**3 + (2*x + 2)**(-2)
    >>> together(diff(n/d))
    (-x + 3)/(4*(x + 1)**3)


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